287161167625920 has 1120 divisors, whose sum is σ = 1278703864817280. Its totient is φ = 59645627596800.

The previous prime is 287161167625897. The next prime is 287161167625931. The reversal of 287161167625920 is 29526761161782.

It is a happy number.

287161167625920 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 611 + 6 + 7 + 6 + 2 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87844770 + ... + 91055070.

Almost surely, 2^{287161167625920} is an apocalyptic number.

287161167625920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287161167625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639351932408640).

287161167625920 is an abundant number, since it is smaller than the sum of its proper divisors (991542697191360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

287161167625920 is a wasteful number, since it uses less digits than its factorization.

287161167625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210383 (or 3210364 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 287161167625920 in words is "two hundred eighty-seven trillion, one hundred sixty-one billion, one hundred sixty-seven million, six hundred twenty-five thousand, nine hundred twenty".